Mechanical Engineering: Centroids in 3-D (4 of 19) Paraboloid

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In this video I will find the centroids, or center of mass, of a circular paraboloid.

Next video in this series can be seen at:
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honestly i almost cry because of you, you are intelegent and my teacher is suck he didnt know any thing but he take a monthly salery thank you and i love your way to explonation

Jxjdjrjfj
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My good sir you are doing god's work here. Many uni students are lost due to bad lecturers, but you have saved us❤. Keep being awesome michael!!

the_boi_man
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Me who is 11th grader noting these and increasing my knowledge, thanks for sharing .

arnavraj
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This is a very different approach than the route I was taking. Very logical and clear though so thanks a bunch! It’s not a common problem so it’s great to find some quality content on it.

TheGoyacast
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Hi michel, the volume of paraboloid is 0.5*pi*(a^2)*h written in Engineering Mechanics book by Beer and Johnston . But you found it 0.5*pi*h^2. Isn't it different?

dayztimeap
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Since a paraboloid is a 3D shape, how will you calculate the z coordinate of the centroid?

ainenuruddin
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it lies on x axis so z coordinate is zero or you can say it is symmetrical about x axis

sahilbabbar
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I don't understand why you did the integral of the denominator too, that is to say why you wrote dV instead of V

zazi